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5005005500 = 2253117911519
BaseRepresentation
bin1001010100101001…
…00101001010111100
3110220210210121211002
410222110211022330
540222240134000
62144350345432
7235012562525
oct45224451274
913823717732
105005005500
112139216790
12b781bb278
13619bc2021
14356a0584c
151e45e48d5
hex12a5252bc

5005005500 has 96 divisors (see below), whose sum is σ = 12076646400. Its totient is φ = 1796808000.

The previous prime is 5005005497. The next prime is 5005005539. The reversal of 5005005500 is 55005005.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428741 + ... + 440259.

It is an arithmetic number, because the mean of its divisors is an integer number (125798400).

Almost surely, 25005005500 is an apocalyptic number.

5005005500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005005500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038323200).

5005005500 is an abundant number, since it is smaller than the sum of its proper divisors (7071640900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5005005500 is a wasteful number, since it uses less digits than its factorization.

5005005500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11628 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 20.

The square root of 5005005500 is about 70746.0634947274. The cubic root of 5005005500 is about 1710.5463753404.

The spelling of 5005005500 in words is "five billion, five million, five thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 100 110 125 158 220 250 275 316 395 500 550 790 869 1100 1375 1580 1738 1975 2750 3476 3950 4345 5500 7900 8690 9875 11519 17380 19750 21725 23038 39500 43450 46076 57595 86900 108625 115190 126709 217250 230380 253418 287975 434500 506836 575950 633545 910001 1151900 1267090 1439875 1820002 2534180 2879750 3167725 3640004 4550005 5759500 6335450 9100010 10010011 12670900 15838625 18200020 20020022 22750025 31677250 40040044 45500050 50050055 63354500 91000100 100100110 113750125 200200220 227500250 250250275 455000500 500500550 1001001100 1251251375 2502502750 5005005500